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0.0009182736455463728191‾=1N0.\overline{0009182736455463728191}=\frac{1}{N}0.0009182736455463728191=N1
Given that NNN is a 4-digit integer, find NNN.
Note: The repeated digits are from 00, 09, 18, ..., 81,(those multiple 9), followed by 91, the period is 22.
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